A:Answer Short answer "yes".
There are thousands of different processors on systems. To get an idea of your performance, compare processors at CPU benchmarks.net. You should find a value system low on the hi end chart or top of the mid range chart.
Also probably at least S important is system memory. Absolute minimum or 4Gb, 8 good, 12 great.
Gamers should look a video processor.
Also lots of systems are beginning to offer SSD hard drives... another performance boost!